{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在这个notebook中，我们将介绍数据分析模块的简单使用方法，并通过一个具体案例来介绍如何通过数据分析模块帮助模型优化"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1、导入函数库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import paddle\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "np.random.seed(123456)\n",
    "paddle.seed(123456)\n",
    "\n",
    "from paddlets import TSDataset\n",
    "from paddlets.utils.backtest import backtest\n",
    "from paddlets.analysis import Seasonality, Acf, Correlation\n",
    "from paddlets.datasets.repository import get_dataset\n",
    "from paddlets.transform import StandardScaler\n",
    "from paddlets.pipeline.pipeline import Pipeline\n",
    "from paddlets.models.forecasting import NBEATSModel\n",
    "\n",
    "# 忽略警告\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2、导入数据"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "调用get_dataset算子拉取已经集成的标准化ECL数据集"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`get_dataset` 拉取数据集并返回TSDataset格式: \n",
    "\n",
    "- `name`: 拉取标准数据集名称，可选：{'UNI_WTH', 'ETTh1', 'ETTm1', 'ECL', 'WTH'}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = get_dataset('ECL')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#减少列数提高后续计算效率\n",
    "ts_cols = data.columns\n",
    "keep_cols = ['MT_000', 'MT_001', 'MT_002', 'MT_003', 'MT_004', 'MT_005',]\n",
    "remove_cols = []\n",
    "for col, type in ts_cols.items():\n",
    "    if (type is 'target'):\n",
    "        continue\n",
    "    if (col not in keep_cols):\n",
    "        remove_cols.append(col)\n",
    "\n",
    "data.drop(remove_cols)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3、样本划分"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "data, _ = data.split('2014-06-30')\n",
    "train_data, test_data = data.split('2014-06-15')\n",
    "train_data, val_data = train_data.split('2014-06-01')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4、数据分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "数据分析模块主要包括周期性分析、特征相关性分析两部分，其中：\n",
    "\n",
    "1、周期性分析可以为建模提供参数建议，如对于有明显周期性的数据，模型的输入参数in_chunk_len建议大于等于一个周期\n",
    "\n",
    "2、特征相关性分析可以帮助用户筛选入模的特征，如对于与目标变量相关性极低的特征可以选择删除，避免影响模型效果"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.1 周期性分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "基于用户提供的周期性长度或者自动计算出来的周期性长度描绘周期性曲线"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`Seasonality`旨在帮助用户自动化的分析和提取指定数据的周期性：\n",
    "\n",
    "- `period`: 周期性长度，当输入数值时使用该数值计算周期性曲线，当为None（默认值）时采用自相关性策略自动计算周期长度\n",
    "\n",
    "- `nlags`: 当period=None时，指定自相关性策略的阶数长度参数，default=300\n",
    "\n",
    "- `alpha`: 当period=None时，判断自动计算的周期性长度的置信区间，dfault=0.05\n",
    "\n",
    "- `mode`: 计算周期性曲线数值的模式策略，可选{\"additive\", \"multiplicative\"}\n",
    "\n",
    "- `order`: 当period=None时，自动计算周期性长度的数值点左右区间各order个的自相关性数值小于该周期性长度时刻的自相关性数值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "period:  {'MT_320': 24, 'MT_000': 24, 'MT_001': 12, 'MT_002': 13}\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1440 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#周期性分析\n",
    "sea = Seasonality(order=4) #order选取一定值，防止寻找局部最大值时受到干扰\n",
    "se = sea(train_data, columns=['MT_320', 'MT_000', 'MT_001', 'MT_002'])\n",
    "plot = sea.plot()\n",
    "print('period: ', se[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.2 特征相关性分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "基于所选特征列（默认所有）计算列之间的相关性"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`Correlation`旨在帮助用户计算数据列之间的相关系数：\n",
    "\n",
    "- `method`: 计算相关系数的方法，可选：{'pearson', 'kendall', 'spearman'}，也支持自定义指标函数\n",
    "\n",
    "- `lag`: 延迟时间长度，当lag > 0时，针对lag_cols列进行延迟，便于用户计算目标列(target cols)与其他列(如observed_cols)之间的延迟相关性\n",
    "\n",
    "- `lag_cols`: 需要延迟的列，当lag > 0时，针对lag_cols指定的列进行延迟"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由于ECL数据集中没有known_cov变量，仅有observed_cov变量，此处调用lag参数计算target cols与observed_cols列之间延迟互相关特性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1152 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "correlation:            MT_320    MT_000    MT_001    MT_002    MT_003    MT_004    MT_005\n",
      "MT_320  1.000000  0.006587  0.288758 -0.107413  0.011876 -0.079538  0.158380\n",
      "MT_000  0.006587  1.000000 -0.050612  0.005319 -0.037523  0.041871 -0.016419\n",
      "MT_001  0.288758 -0.050612  1.000000 -0.017856  0.295764  0.026558  0.401940\n",
      "MT_002 -0.107413  0.005319 -0.017856  1.000000  0.104992  0.273762  0.255482\n",
      "MT_003  0.011876 -0.037523  0.295764  0.104992  1.000000  0.680421  0.744417\n",
      "MT_004 -0.079538  0.041871  0.026558  0.273762  0.680421  1.000000  0.627420\n",
      "MT_005  0.158380 -0.016419  0.401940  0.255482  0.744417  0.627420  1.000000\n"
     ]
    }
   ],
   "source": [
    "#特征相关性分析\n",
    "cor = Correlation(method='spearman', lag=24, lag_cols=['MT_000', 'MT_001', 'MT_002', 'MT_003', 'MT_004', 'MT_005']) #method提供三种计算方法{'pearson', 'kendall', 'spearman'}，同时支持自定义函数（比如计算延迟互相关）\n",
    "c = cor(train_data)\n",
    "plot = cor.plot()\n",
    "print('correlation: ', c)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 分析建议：\n",
    "\n",
    "1、数据分析中显示训练集合的目标数据具备周期性，且周期性最小为24，故选择模型构建特征集合的时候，历史特征长度in_chunk_len最小应该为24，可以设置为24的倍数\n",
    "\n",
    "2、与目标特征相关程度最低的可以考虑删除，避免影响模型效果"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5、参数指定"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "#目标列历史长度生成特征\n",
    "in_chunk_len = 24\n",
    "#预测未来长度\n",
    "out_chunk_len = 24\n",
    "#训练区间与预测区间相隔长度\n",
    "skip_chunk_len = 0\n",
    "#sampling_stride\n",
    "sampling_stride = 24\n",
    "#模型额外参数指定\n",
    "max_epochs = 100\n",
    "patience = 5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6、构建pipeline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这里调用Nbeats模型开展分析优化，调用Pipeline模块建立整体流程，关于Nbeats和Pipeline的使用说明可以参照相应的文档部分"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "pipeline_list = [(StandardScaler, {}), \n",
    "                 (NBEATSModel, {'in_chunk_len': in_chunk_len, \n",
    "                                'out_chunk_len': out_chunk_len, \n",
    "                                'skip_chunk_len': skip_chunk_len, \n",
    "                                'max_epochs': max_epochs, \n",
    "                                'patience': patience})\n",
    "                ]\n",
    "pipe = Pipeline(pipeline_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7、pipeline训练"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[2022-11-01 10:08:57,030] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 000| loss: 3.099050| val_0_mae: 1.068408| 0:00:02s\n",
      "[2022-11-01 10:08:59,479] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 001| loss: 1.007178| val_0_mae: 0.912291| 0:00:04s\n",
      "[2022-11-01 10:09:01,957] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 002| loss: 0.731689| val_0_mae: 0.824733| 0:00:07s\n",
      "[2022-11-01 10:09:04,379] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 003| loss: 0.591643| val_0_mae: 0.763928| 0:00:09s\n",
      "[2022-11-01 10:09:06,798] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 004| loss: 0.506198| val_0_mae: 0.718455| 0:00:12s\n",
      "[2022-11-01 10:09:09,165] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 005| loss: 0.447732| val_0_mae: 0.686879| 0:00:14s\n",
      "[2022-11-01 10:09:11,554] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 006| loss: 0.405896| val_0_mae: 0.665283| 0:00:16s\n",
      "[2022-11-01 10:09:13,891] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 007| loss: 0.373874| val_0_mae: 0.644579| 0:00:19s\n",
      "[2022-11-01 10:09:16,186] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 008| loss: 0.348768| val_0_mae: 0.628944| 0:00:21s\n",
      "[2022-11-01 10:09:18,387] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 009| loss: 0.328021| val_0_mae: 0.611940| 0:00:23s\n",
      "[2022-11-01 10:09:20,670] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 010| loss: 0.309999| val_0_mae: 0.604456| 0:00:25s\n",
      "[2022-11-01 10:09:22,908] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 011| loss: 0.295321| val_0_mae: 0.596182| 0:00:28s\n",
      "[2022-11-01 10:09:25,192] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 012| loss: 0.282363| val_0_mae: 0.586960| 0:00:30s\n",
      "[2022-11-01 10:09:27,365] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 013| loss: 0.271336| val_0_mae: 0.582158| 0:00:32s\n",
      "[2022-11-01 10:09:29,640] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 014| loss: 0.261889| val_0_mae: 0.576030| 0:00:34s\n",
      "[2022-11-01 10:09:32,047] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 015| loss: 0.253231| val_0_mae: 0.568200| 0:00:37s\n",
      "[2022-11-01 10:09:34,500] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 016| loss: 0.245732| val_0_mae: 0.557679| 0:00:39s\n",
      "[2022-11-01 10:09:36,913] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 017| loss: 0.238818| val_0_mae: 0.555783| 0:00:42s\n",
      "[2022-11-01 10:09:39,371] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 018| loss: 0.232965| val_0_mae: 0.552954| 0:00:44s\n",
      "[2022-11-01 10:09:41,796] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 019| loss: 0.226349| val_0_mae: 0.550986| 0:00:47s\n",
      "[2022-11-01 10:09:44,215] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 020| loss: 0.220891| val_0_mae: 0.550924| 0:00:49s\n",
      "[2022-11-01 10:09:46,446] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 021| loss: 0.216084| val_0_mae: 0.543130| 0:00:51s\n",
      "[2022-11-01 10:09:48,560] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 022| loss: 0.211259| val_0_mae: 0.538863| 0:00:53s\n",
      "[2022-11-01 10:09:50,732] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 023| loss: 0.207131| val_0_mae: 0.532652| 0:00:55s\n",
      "[2022-11-01 10:09:52,965] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 024| loss: 0.202755| val_0_mae: 0.531212| 0:00:58s\n",
      "[2022-11-01 10:09:55,246] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 025| loss: 0.198674| val_0_mae: 0.532143| 0:01:00s\n",
      "[2022-11-01 10:09:57,602] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 026| loss: 0.195226| val_0_mae: 0.527163| 0:01:02s\n",
      "[2022-11-01 10:10:00,175] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 027| loss: 0.191876| val_0_mae: 0.525576| 0:01:05s\n",
      "[2022-11-01 10:10:02,615] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 028| loss: 0.188682| val_0_mae: 0.525974| 0:01:07s\n",
      "[2022-11-01 10:10:05,091] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 029| loss: 0.185372| val_0_mae: 0.526214| 0:01:10s\n",
      "[2022-11-01 10:10:07,465] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 030| loss: 0.182718| val_0_mae: 0.529949| 0:01:12s\n",
      "[2022-11-01 10:10:09,848] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 031| loss: 0.179336| val_0_mae: 0.520709| 0:01:15s\n",
      "[2022-11-01 10:10:12,250] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 032| loss: 0.176204| val_0_mae: 0.520703| 0:01:17s\n",
      "[2022-11-01 10:10:14,736] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 033| loss: 0.174177| val_0_mae: 0.515145| 0:01:19s\n",
      "[2022-11-01 10:10:17,123] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 034| loss: 0.171428| val_0_mae: 0.520605| 0:01:22s\n",
      "[2022-11-01 10:10:19,645] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 035| loss: 0.169199| val_0_mae: 0.518880| 0:01:24s\n",
      "[2022-11-01 10:10:22,118] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 036| loss: 0.166344| val_0_mae: 0.515266| 0:01:27s\n",
      "[2022-11-01 10:10:24,479] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 037| loss: 0.164054| val_0_mae: 0.515903| 0:01:29s\n",
      "[2022-11-01 10:10:26,865] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 038| loss: 0.161728| val_0_mae: 0.515421| 0:01:32s\n",
      "[2022-11-01 10:10:26,869] [paddlets.models.common.callbacks.callbacks] [INFO] \n",
      "Early stopping occurred at epoch 38 with best_epoch = 33 and best_val_0_mae = 0.515145\n",
      "[2022-11-01 10:10:26,870] [paddlets.models.common.callbacks.callbacks] [INFO] Best weights from best epoch are automatically used!\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<paddlets.pipeline.pipeline.Pipeline at 0x7f35b8da4208>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pipe.fit(train_data, val_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 8、backtest回测"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PS：此处按照通用的场景需求，采用backtest的方式计算多天时间预测结果，所谓backtest可以参照paddlets.utils.backtest文档解释说明"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "举例说明：以当前ECL数据集为例，用户需要预测每天24个点（每天1H一个点）的预测数值，用户从2014-06-20号开始预测start=pd.Timestamp('2014-06-20 00:00:00')，每次预测之间的间隔为stride=24，预测长度predict_window=24"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Backtest Progress: 100%|██████████| 11/11 [00:00<00:00, 13.59it/s]\n"
     ]
    }
   ],
   "source": [
    "res = backtest(\n",
    "    test_data, #测试数据集\n",
    "    pipe, \n",
    "    start=pd.Timestamp('2014-06-20 00:00:00'), #开始预测时间\n",
    "    predict_window=24, #预测长度\n",
    "    stride=sampling_stride, \n",
    "    return_predicts=True,\n",
    ")\n",
    "score, predict_result = res"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 9、预测分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PS：图中蓝色为真实曲线，其他颜色为预测曲线"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 9.1 预测结果对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mse {'MT_320': 139654.5288533103}\n"
     ]
    }
   ],
   "source": [
    "#预测效果展示\n",
    "plt.figure()\n",
    "test_data.plot()\n",
    "predict_result.plot()\n",
    "plt.show()\n",
    "print('mse', score)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对比预测曲线与真实曲线，预测曲线缺少趋势性上升，对于周期性的预测好坏需要进一步分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 9.2 残差曲线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#残差曲线\n",
    "p = predict_result.to_dataframe()\n",
    "r = test_data.to_dataframe()\n",
    "r = r[['MT_320']]\n",
    "ts = TSDataset.load_from_dataframe((r - p).dropna(), target_cols=\"MT_320\")\n",
    "ts.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出来，预测误差中仍然存在明显的周期性数据，证明模型有进一步优化的空间，同时对比预测结果与真实结果，预测结果在趋势性上学习不明显"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 9.3 自相关性分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "时序自相关性计算策略，自相关性可以判断当前时刻和历史时刻是否具有相关性，帮助判断数据列是否存在显著的周期特性"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`Acf`旨在帮助用户计算时序数据的自相关系数：\n",
    "\n",
    "- `nlags`: 当period=None时，指定自相关性策略的阶数长度参数，default=300\n",
    "\n",
    "- `alpha`: 当period=None时，判断自动计算的周期性长度的置信区间，dfault=0.05"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts = TSDataset.load_from_dataframe((r - p).dropna(), target_cols=\"MT_320\")\n",
    "acf = Acf(nlags=200)\n",
    "ac = acf(ts)\n",
    "plot = acf.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "从自相关性分析来看，仍然部分斜率变化顶点（蓝色区域之外），表明预测误差具有显著的自相关性，也就是预测残差中仍有周期性数据没有被模型学习到，模型缺少一定的拟合程度，可以进一步开展优化策略"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 9.4 周期性分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这里针对模型预测误差的周期性长度进行进一步提取，观测误差数据的周期性情况"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "period:  {'MT_320': 24}\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#周期性分析\n",
    "ts = TSDataset.load_from_dataframe((r - p).dropna(), target_cols=\"MT_320\")\n",
    "sea = Seasonality(nlags=200, order=4)\n",
    "se = sea(ts)\n",
    "plot = sea.plot()\n",
    "print('period: ', se[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过周期性计算方法计算出来模型的预测误差中数据周期性为period = 24，模型效果仍然有进一步优化提示的空间"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 10、基于分析二次优化"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上图的分析结果中显示出模型仍然有进一步学习的空间，一般模型网络学习性能欠缺包括两方面原因：\n",
    "\n",
    "1、输入特征数据不足\n",
    "\n",
    "2、模型网络复杂度较低\n",
    "\n",
    "这里我们通过增加输入的特征数据和模型网络隐藏层节点数提升模型的学习能力"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 10.1 模型训练"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[2022-11-01 10:10:34,320] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 000| loss: 2.733198| val_0_mae: 0.995070| 0:00:04s\n",
      "[2022-11-01 10:10:39,188] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 001| loss: 0.787582| val_0_mae: 0.830915| 0:00:09s\n",
      "[2022-11-01 10:10:43,854] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 002| loss: 0.552534| val_0_mae: 0.748365| 0:00:14s\n",
      "[2022-11-01 10:10:48,441] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 003| loss: 0.441203| val_0_mae: 0.699927| 0:00:18s\n",
      "[2022-11-01 10:10:53,042] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 004| loss: 0.376512| val_0_mae: 0.666884| 0:00:23s\n",
      "[2022-11-01 10:10:57,832] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 005| loss: 0.333216| val_0_mae: 0.642005| 0:00:28s\n",
      "[2022-11-01 10:11:02,719] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 006| loss: 0.302262| val_0_mae: 0.623225| 0:00:33s\n",
      "[2022-11-01 10:11:07,690] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 007| loss: 0.278366| val_0_mae: 0.605365| 0:00:38s\n",
      "[2022-11-01 10:11:12,609] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 008| loss: 0.258888| val_0_mae: 0.589180| 0:00:43s\n",
      "[2022-11-01 10:11:17,631] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 009| loss: 0.242477| val_0_mae: 0.584442| 0:00:48s\n",
      "[2022-11-01 10:11:22,361] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 010| loss: 0.229769| val_0_mae: 0.581426| 0:00:52s\n",
      "[2022-11-01 10:11:27,158] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 011| loss: 0.218572| val_0_mae: 0.567117| 0:00:57s\n",
      "[2022-11-01 10:11:32,060] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 012| loss: 0.208791| val_0_mae: 0.560147| 0:01:02s\n",
      "[2022-11-01 10:11:36,993] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 013| loss: 0.199478| val_0_mae: 0.553261| 0:01:07s\n",
      "[2022-11-01 10:11:41,776] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 014| loss: 0.191975| val_0_mae: 0.549716| 0:01:12s\n",
      "[2022-11-01 10:11:46,538] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 015| loss: 0.183779| val_0_mae: 0.546042| 0:01:17s\n",
      "[2022-11-01 10:11:51,532] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 016| loss: 0.177755| val_0_mae: 0.544896| 0:01:22s\n",
      "[2022-11-01 10:11:56,516] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 017| loss: 0.171482| val_0_mae: 0.539936| 0:01:27s\n",
      "[2022-11-01 10:12:01,475] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 018| loss: 0.166970| val_0_mae: 0.529545| 0:01:32s\n",
      "[2022-11-01 10:12:06,342] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 019| loss: 0.160590| val_0_mae: 0.530667| 0:01:36s\n",
      "[2022-11-01 10:12:11,348] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 020| loss: 0.156490| val_0_mae: 0.531065| 0:01:41s\n",
      "[2022-11-01 10:12:16,302] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 021| loss: 0.152088| val_0_mae: 0.533577| 0:01:46s\n",
      "[2022-11-01 10:12:21,255] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 022| loss: 0.148176| val_0_mae: 0.531702| 0:01:51s\n",
      "[2022-11-01 10:12:26,110] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 023| loss: 0.143561| val_0_mae: 0.522531| 0:01:56s\n",
      "[2022-11-01 10:12:30,965] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 024| loss: 0.140038| val_0_mae: 0.529036| 0:02:01s\n",
      "[2022-11-01 10:12:35,886] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 025| loss: 0.136522| val_0_mae: 0.522294| 0:02:06s\n",
      "[2022-11-01 10:12:40,769] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 026| loss: 0.132977| val_0_mae: 0.520437| 0:02:11s\n",
      "[2022-11-01 10:12:45,575] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 027| loss: 0.129665| val_0_mae: 0.529989| 0:02:16s\n",
      "[2022-11-01 10:12:50,597] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 028| loss: 0.126542| val_0_mae: 0.513489| 0:02:21s\n",
      "[2022-11-01 10:12:55,574] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 029| loss: 0.123779| val_0_mae: 0.520934| 0:02:26s\n",
      "[2022-11-01 10:13:00,632] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 030| loss: 0.121058| val_0_mae: 0.523028| 0:02:31s\n",
      "[2022-11-01 10:13:05,640] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 031| loss: 0.118037| val_0_mae: 0.525498| 0:02:36s\n",
      "[2022-11-01 10:13:10,600] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 032| loss: 0.115249| val_0_mae: 0.526741| 0:02:41s\n",
      "[2022-11-01 10:13:15,420] [paddlets.models.common.callbacks.callbacks] [INFO] epoch 033| loss: 0.112898| val_0_mae: 0.521521| 0:02:45s\n",
      "[2022-11-01 10:13:15,426] [paddlets.models.common.callbacks.callbacks] [INFO] \n",
      "Early stopping occurred at epoch 33 with best_epoch = 28 and best_val_0_mae = 0.513489\n",
      "[2022-11-01 10:13:15,427] [paddlets.models.common.callbacks.callbacks] [INFO] Best weights from best epoch are automatically used!\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<paddlets.pipeline.pipeline.Pipeline at 0x7f35b8e83438>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.seed(123456)\n",
    "paddle.seed(123456)\n",
    "#模型额外参数指定\n",
    "layer_widths = 256 #default layer_widths=128\n",
    "in_chunk_len = 24 * 2 #default in_chunk_len=24\n",
    "\n",
    "pipeline_list = [(StandardScaler, {}), \n",
    "                 (NBEATSModel, {'in_chunk_len': in_chunk_len, \n",
    "                                'out_chunk_len': out_chunk_len, \n",
    "                                'skip_chunk_len': skip_chunk_len, \n",
    "                                'max_epochs': max_epochs, \n",
    "                                'patience': patience,\n",
    "                                'layer_widths': layer_widths,})\n",
    "                ]\n",
    "pipe = Pipeline(pipeline_list)\n",
    "#训练\n",
    "pipe.fit(train_data, val_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Backtest Progress: 100%|██████████| 11/11 [00:00<00:00, 13.42it/s]\n"
     ]
    }
   ],
   "source": [
    "#回测backtest\n",
    "res = backtest(\n",
    "    test_data, #测试数据集\n",
    "    pipe, \n",
    "    start=pd.Timestamp('2014-06-20 00:00:00'), #开始预测时间\n",
    "    predict_window=24, #预测长度\n",
    "    stride=24, \n",
    "    return_predicts=True,\n",
    ")\n",
    "score, predict_result = res"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 10.2 预测分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mse:  {'MT_320': 127563.02455913975}\n"
     ]
    }
   ],
   "source": [
    "#预测效果展示\n",
    "plt.figure()\n",
    "test_data.plot()\n",
    "predict_result.plot()\n",
    "plt.show()\n",
    "print('mse: ', score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#残差曲线\n",
    "p = predict_result.to_dataframe()\n",
    "r = test_data.to_dataframe()\n",
    "r = r[['MT_320']]\n",
    "ts = TSDataset.load_from_dataframe((r - p).dropna(), target_cols=\"MT_320\")\n",
    "ts.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上述结果表明，我们的优化策略是有效果的，通过优化模型参数和输入数据长度能够进一步提高模型泛化性，预测误差降低了8.6%（139654----->127653）\n",
    "\n",
    "同时对比两次的预测残差曲线，优化之后的残差更接近于0均值的分布，证明在趋势性的学习上效果更好\n",
    "\n",
    "我们在这里继续观察优化之后的预测误差的自相关性曲线，观察是否有显著的周期性数据残留在预测误差中"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#自相关性\n",
    "p = predict_result.to_dataframe()\n",
    "r = test_data.to_dataframe()\n",
    "r = r[['MT_320']]\n",
    "ts = TSDataset.load_from_dataframe((r - p).dropna(), target_cols=\"MT_320\")\n",
    "acf = Acf(nlags=200)\n",
    "ac = acf(ts)\n",
    "plot = acf.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "从预测误差的自相关性角度观察，已经没有显著的周期性数据（蓝色区域之外没有顶点）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 结论"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "数据分析与预测分析是一项非常重要的工作，合理的分析策略可以帮助快速定位关键问题，通过上述分析与优化的方法策略，我们进一步提升了模型预测效果，提升了模型对于趋势性与周期性的表达能力"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
